Answer:
see explanation
Step-by-step explanation:
-2 is your y-intercept so one point on your plot is (0,-2)
your slope is 1/4, rise/run
so from the y-int go up 1 and right 4, so another point is (-1,4)
and you can keep going up 1 and right 4 for as many points as you need.
You paint of a wall in hour. At that rate, how long will it take you to paint one wall? pls help now
Answer:
3/4 hour
Step-by-step explanation:
Water runs into a conical tank at the rate of [tex]9ft^{3}/min.[/tex] The tank stands point down and has a height of 10 ft and a base of 5 ft. How fast is the water level rising when the water is 6 ft deep?
Answer:
[tex]\frac{1}{\pi} \frac{\text{ft}}{\text{min}}[/tex] is the rate at which the water is rising when the water is 6 ft deep.
Step-by-step explanation:
See the attached diagram that I drew to represent this problem.
To solve related rates problems, let's use the recommended steps:
Draw a diagram.Label all quantities and their rates of change.Relate all quantities in the same equation.Differentiate (implicitly) with respect to time.Use the resulting equation to answer the question in context.Step 1:I already drew the diagram; see attached image.
Step 2:I labeled the quantities we are given in the problem. h = 10 ft, and r = 5 ft. We are also told that the change in volume is 9 ft³/min; dV/dt = 9 ft³/min.
We want to find dh/dt when h = 6.
[tex]\frac{dh}{dt}\ \vert \ _h_=_6 =\ ?[/tex] Step 3:We know that we are dealing with a cone in this problem, and we are given the volume of the cone. Therefore, we can use the formula for the volume of a cone in order to relate all of the quantities in the same equation.
[tex]V=\frac{1}{3} \pi r^2 h[/tex]Since we only want the two variables, V and h, we can solve for r in terms of h and substitute this value for r in the formula.
This is because when we perform implicit differentiation, we do not have the change in r (dr/dt) but we do have dh/dt, which is what we are trying to solve for.
We know that r = 5 ft, and h = 10 ft. Therefore, we can say that [tex]\frac{r}{h}=\frac{5}{10} \rightarrow \frac{r}{h} = \frac{1}{2}[/tex]. Multiply h to both sides to solve for the variable r: [tex]r=\frac{h}{2}[/tex].
Substitute this into the volume of a cone equation:
[tex]V=\frac{1}{3} \pi(\frac{h}{2})^2 h[/tex]Simplify this equation.
[tex]V=\frac{\pi}{3}\cdot \frac{h^2}{4} \cdot h[/tex] [tex]V=\frac{\pi}{12}h^3[/tex] Step 4:Perform implicit differentiation on the volume equation.
[tex]\frac{dV}{dt} =\frac{\pi}{12}3h^2 \cdot \frac{dh}{dt}[/tex] Step 5:Substitute known values and solve for dh/dt to find the change in height, or the rise in water level, when the water is 6 ft deep (h = 6).
We know that:
[tex]\frac{dV}{dt} =9[/tex] [tex]h=6[/tex]Plug these values into the implicitly differentiated volume equation.
[tex]9=\frac{\pi}{12}3(6)^2\cdot \frac{dh}{dt}[/tex] [tex]9=\frac{3\pi}{12}\cdot 36 \cdot \frac{dh}{dt}[/tex] [tex]9=9\pi\frac{dh}{dt}[/tex] [tex]\frac{dh}{dt} =\frac{9}{9\pi}= \frac{1}{\pi}[/tex]Answering the question in context:
Since dh/dt = 1/π when h = 6 ft, we can say that the water is rising at a rate of [tex]\frac{1}{\pi} \frac{\text{ft}}{\text{min}}[/tex] when the water is 6 ft high.
Hey there!
We can create some variables to denote some of the things we are working with.
v = volume
h = height
r = radius
We know that [ dv/dt = (π/3)r²h ]. We also know that [ r/h = 5/10 = 1/2 ] which resembles the parts of a triangle.
Solution:
v = π/3*h/2²
h = πh³/(4)(3)
~Differentiate both sides
dv/dt = (3πh³/4*3)(dh/dt)
~Simplify
dh/dt = (4dv/dt)/πh²
~Use chain rule
(4)(9)/π6²
1/π
Thus, the speed of the water level rising is [ 1/π ft/min ] when the water is 6ft deep.
Best of Luck!
What is the DOMAIN of this graph? Need help!!
Use the distributive property to rewrite the expression: 1.5(2x-20) WILL MAKE BRAINLISTT
Answer:
-60...make me brainlistt
Step-by-step explanation:
does kageyama get an award? for like best setter?
Answer:
of course.
he's the king of the court
Answer:
He's a great setter but he never gets an award like Oikawa does...
Step-by-step explanation:
*spoiler*
-
-
-
-
buuut he does get accepted to the Japan Youth Training camp where only elites go (Ushijima when there) ;)
Which values from the given replacement set make up the solution set of the inequality?
5n>24 ; {2, 3, 4, 5, 6}
{5, 6}
{2, 3}
{4, 5, 6}
{3, 4}
Answer:
The answer is {4, 5, 6}
Step-by-step explanation: Because u have to do the math step by step with each number thats how u get the answer. And trust me its right because i got a 100%
katie is planting a garden for her science fair project. she needs 2/3 of a cup of soil to go in 8 different pots.how many cups of total does she need in total
Answer:
5 and 1/3 cups of soil
Step-by-step explanation:
Hello there, in this problem we can solve for the amount of soil that Katie will need by multiplying the factor for one of them by the number of pots we have, 8. We get 16/3 cups of soil, or 5 and 1/3 cups of soil.
Hope this helps!
-HM
Answer:
Katie need 5.6 cups of soil.
Step-by-step explanation:
To solve this equation, we just need to multiply 8 by 2/3. Though to make this equation easier, I will turn 2/3 into a decimal by dividing the numerator (2) by the denominator (3.)
2 ÷ 3 = 0.7 when rounded to the nearest tenth.
Now, let's multiply 0.7 by 8.
8 x 0.8 = 5.6
Therefore, Katie need 5.6 cups of soil.
Hope this helps! :)
Question in the picture
I will find x, so 4x-4=180, so 4x=184, so x=46
Sorry if i answered wrong I don't understand what it is asking for.
Larry fills his bathtub at a constant rate. The amount of water in his tub is proportional to the amount of time he spends filling it. This relationship is described in the following graph:
Answer:
7 but im not sure
Step-by-step explanation:
Answer:
its A and B
Step-by-step explanation:
Do NOT hit none of the above, that's wrong
for Darren used this graph to compare two cell phone data plans.
Choose the three statements that are true about the graph.
Math item stem image
CLEAR CHECK
Plan A provides more data than Plan B for monthly costs less than $45.
Plan A costs less than Plan B for fewer than 45 gigabytes of data.
Plan A costs more than Plan B for more than 4 gigabytes of data.
The two plans provide the same amount of data for $45 a month.
The two plans cost the same for 4 gigabytes of data.
The two plans cost the same for 45 gigabytes of data.
Which statement is correct?
Statements 3, 4 and 5
Answer:
Statements 3, 4 and 5
Step-by-step explanation:
which of the following would be neither perpendicular nor parallel to the following equation. y=3x-7. equations: y=-1/3x-7, y=-1/3x+5, y=1/3x+6, y=3x+1
Answer:
y=1/3x+6
Step-by-step explanation:
Equations parallel to each other have the same slope so that rules out the fourth answer. Perpendicular equations have opposite and reciprocal slopes, which in this case would be [tex]\frac{-1}{3}[/tex], which rules out all of the others except for the third option.
A store purchased a coat for $20 and sold it for $35. Is this an increase or decrease? What was the percent change?
Answer:
an increase of 75%
Step-by-step explanation:
Answer:
A store purchased a coat for $20 and sold it for $35. Is this an increase or decrease? What was the percent change an increase 75%
Find the value of X.
Answer:
x = 9
Step-By-Step Explanation:
1. 3x + 5 + 6x + 4 = 90
2. 9x + 9 = 90
3. 9 + -9
4. 90 + -9
5. 9x = 81
6. x= 9 Substituting X:
3 X 9 + 5 = 27 + 5 = 32
6 X 9 + 4 = 54 + 4 = 58 58 + 32 = 90, so X = 9
Answer:
Step-by-step explanation:
The reason I say the answer above is wrong is because their answer equals up to a angle of 100 degrees however your angle is equaling up to 90 degrees. First off we know this angle is going to be 90 degrees right so we put it into the eqution:
=90
but we don't know what x is in order to solve the degrees that add up to 90, so since these equations add up to 90 we put them into the equation:
(3x + 5)+ (6x + 4) = 90
we then add all the numbers that have the same variables or are simply numbers in the equation
3x + 6x and 5 + 4 to get 9x + 9 = 90
we then subtract 9 from both sides (because what you do to one side you do to the other) to get 81
the equation now looks like this: 9x = 81 so now we divide 9 from both sides to get x = 9
Now how do we know if x is really 9 well we plug it into the equations (3x + 5) and (6x + 4) making them look like this (3(9) + 5) and (6(9) + 4)
and you get (3(9) + 5)= 32
(6(9) + 4)= 58
and when you add them together you get 90
32 + 58 = 90
Sorry it took so long to answer back. I hope this helps you
solve for h: -2/3h-4=4/3
Isolate the variable by dividing each side by factors that don't contain the variable.
h = −8
An apartment of the same square footage today is $716 unfurnished making a cost of living increase of 44.69%. If Della and Jim's apartment was $32 per month with furnishings included and they signed a lease for 13 months, what is the total weekly cost in 1905?
An apartment of the same square footage today is $716 unfurnished making a cost of living increase of 44.69%. If Della and Jim's apartment was $32 per month with furnishings included and they signed a lease for 13 months, what is the total weekly cost in 1905? Answer: $1340.80
Find the 11th term of the geometric sequence 7,35, 175, ...
Answer:
68,359,375. Using a calculator, you can multiply each new number by 5.
11th term of the given geometric sequence is [tex]a_{n}= 7(5^{n-1})[/tex]
What is Geometric sequence?In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Given geometric sequence = 7,35,175,..
Nth term of the geometric sequence [tex]a_{n}=a_{1}.r^{n-1}[/tex]
[tex]a_{1}=7[/tex]
[tex]r=\frac{35}{7}=5[/tex]
Nth term of the geometric sequence
[tex]a_{n}= 7(5^{n-1})[/tex]
Hence, the Nth term of the given geometric sequence is [tex]a_{n}= 7(5^{n-1})[/tex]
Learn more about Geometric sequence here
https://brainly.com/question/13008517
#SPJ2
Emilio’s paycheck was $305.25, and he makes $9.25 per hour. How many hours did Emilio work?
0.33 hours
3.3 hours
33 hours
330 hours
Answer:
$305.25 divided by $9.25 equals 33, so he worked 33 hours... hope this helped.
Step-by-step explanation:
Answer:
33 is the answer
Step-by-step explanation:
7=6-4, +4r
Please help
Answer:
R=5/4
Or
R=1.25
Step-by-step explanation:
Select all the correct answers.
Which benefits do employers commonly offer to full-time employees?
401(k) plan
free gasoline
health insurance
life insurance
paid vacation
rent
Type your number answer in decimal form. Do not round.
3,000 millimeters = meters.
Answer: 3.0 meters
Step-by-step explanation:
3000 millimetres is the same as 3 meters.
3 as a decimal is the same as 3.0
A hose fills a hot tub at a rate of 3.36 gallons per minute. How many hours will it take to fill a 305-gallon hot tub?
It will take
nothing hours to fill the hot tub.
(Simplify your answer. Round to two decimal places as needed.)
Answer:
The result will be irrational, but 1.5128968253966 hours should be the answer.
Step-by-step explanation:
which polynomial function has a leading coefficient of 1, roots -2 and 7 with miltiplicity
1, and root 5 with multiplicity 2?
Answer:
f(x)=(x+2)(x-7)(x-5)(x-5)
Step-by-step explanation:
With the use of the roots and leading coefficient, you can easily write out the polynomial as I have above.
Answer:
f(x)= (x-7)(x-5)(x-5)((x+2)
Step-by-step explanation:
Edge answer D
Let's say you are in the market to buy a car that will cost you $20,000. Shopping around for financing, you manage to get $20,000 loan at 4% interest for 60 months. Which of the following will be the closest final cost of your car including the interest/finance charges?
Answer:
oof
Step-by-step explanation:
√50, √8, whats the area of the triangle no picture
Answer:
Area = 10
Step-by-step explanation:
([tex]\sqrt{50}[/tex]×[tex]\sqrt{8}[/tex]) ÷ 2 = 10
How do I get numbers 1-20 with only using four 2's
Answer: 1-20 can be made with four 2's when you use a power on the 2's like this 2 to the power of 4 + (2 to the power of 2+2 to the power of 2)= 20
Step-by-step explanation:
1. Describe the relationship between angle2 and angle6
A customer/member owes $11.02 and pays $100.00 in cash. Change due is $88.98.
Answer:
Correct
Step-by-step explanation:
Estimate:
92% of 104
Answer:
95.68
Step-by-step explanation:
Bryan created a scale drawing of his rectangular bedroom. His drawing had dimensions of 6 inches by 8 inches. If the scale that Bryan used to create his drawing was 1 inch = 2 feet, what is the perimeter of his actual bedroom?
Answer:
56 feet
Step-by-step explanation:
If 1 inch = 2 feet, we can first find the actual dimensions of his room by multiplying the number of inches by 2.
6(2)
= 12
8(2)
= 16
So, the actual dimensions of his room are 12 feet by 16 feet.
To find the perimeter, use the perimeter formula, P = 2l + 2w.
Plug in the length and width:
P = 2l + 2w
P = 2(12) + 2(16)
P = 24 + 32
P = 56
So, the perimeter of his actual room is 56 feet.
Titus has a rectangle peice of fabric 3/4m long and 2/5m wide. He cuts three equal. express your answer as a friction in its simplest form
Answer:
( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)( ≧Д≦)(´;︵;`)
Step-by-step explanation:
shoot the ball from his hand an initial height 2 m winh velocity of 10 meters pwler second ,the height ofthe ball can be modeled by the ģuadratic eģuation want tje answer -4.9t2+10t2+2 after t second